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Finding the Fourth Proportional to 452,542.80, 678,814.20 and 137,015.40

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Solution

The fourth proportional to 452,542.80, 678,814.20 and 137,015.40 is: 205,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,542.80 : 678,814.20 = 137,015.40 : x
  2. Step 2: Convert to fraction form
    452,542.80/678,814.20 = 137,015.40/x
  3. Step 3: Cross multiply
    452,542.80x = 678,814.20 × 137,015.40
  4. Step 4: Simplify right side
    452,542.80x = 93,007,999,138.68
  5. Step 5: Solve for x
    x = 93,007,999,138.68/452,542.80
  6. Step 6: Final answer
    x = 205,523.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.